Question

In the following figure, the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F is ______.

Options

• 190°

• 540°

• 360°

• 180°

Answer 1

In the following figure, the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F is 360°.

Explanation:

From the figure, we can able to find out there are two triangles.

So, consider the ΔABC,

We know that, sum of the interior angles of the triangle is equal to 180°.

Therefore, ∠A + ∠B + ∠C = 180°

Now, consider the ΔDEF,

∠D + ∠E + ∠F = 180°

Then,

= ∠A + ∠B + ∠C + ∠D + ∠E + ∠F

= 180° + 180°

= 360°